SIST EN 15302:2008

2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.Railway applications - Method for determining the equivalent conicityApplications ferroviaires - Méthode de détermination de la conicité équivalenteBahnanwendungen - Methode zur Bestimmung der äquivalenten Konizität45.060.01Železniška vozila na splošnoRailway rolling stock in generalICS:SIST EN 15302:2008enTa slovenski standard je istoveten z:EN 15302:200801-junij-2008SIST EN 15302:2008SLOVENSKI
STANDARD







EUROPEAN STANDARDNORME EUROPÉENNEEUROPÄISCHE NORMEN 15302March 2008ICS 17.040.20; 45.060.01 English VersionRailway applications - Method for determining the equivalentconicityApplications ferroviaires - Méthode de détermination de laconicité équivalenteBahnanwendungen - Verfahren zur Bestimmung deräquivalenten KonizitätThis European Standard was approved by CEN on 7 February 2008.CEN members are bound to comply with the CEN/CENELEC Internal Regulations which stipulate the conditions for giving this EuropeanStandard the status of a national standard without any alteration. Up-to-date lists and bibliographical references concerning such nationalstandards may be obtained on application to the CEN Management Centre or to any CEN member.This European Standard exists in three official versions (English, French, German). A version in any other language made by translationunder the responsibility of a CEN member into its own language and notified to the CEN Management Centre has the same status as theofficial versions.CEN members are the national standards bodies of Austria, Belgium, Bulgaria, Cyprus, Czech Republic, Denmark, Estonia, Finland,France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland, Portugal,Romania, Slovakia, Slovenia, Spain, Sweden, Switzerland and United Kingdom.EUROPEAN COMMITTEE FOR STANDARDIZATIONCOMITÉ EUROPÉEN DE NORMALISATIONEUROPÄISCHES KOMITEE FÜR NORMUNGManagement Centre: rue de Stassart, 36
B-1050 Brussels© 2008 CENAll rights of exploitation in any form and by any means reservedworldwide for CEN national Members.Ref. No. EN 15302:2008: E



EN 15302:2008 (E) 2 Contents Page Foreword.9 Introduction.10 1 Scope.13 2 Normative references.13 3 Symbols.14 4 Principle of determining the equivalent conicity.15 4.1 Integration of the equation of the wheelset movement of a conical profile.15 4.2 Determining the wavelength of a conical profile.16 4.3 Definition of equivalent conicity for nonlinear profiles.17 5 Description of the reference procedure.17 5.1 General principles.17 5.2 Determining the wheel and rail profiles.18 5.2.1 Principles of measurement.18 5.2.2 Accuracy of the measuring system.18 5.3 Determining the rolling radius difference function ∆∆∆∆r.18 5.4 Determining the equivalent conicity.19 6 Benchmark calculation.19 6.1 Overview.19 6.2 Validation of evaluation method.19 Annex A (informative)
Example of presentation of ∆∆∆∆r function and conicity.21 Annex B (informative)
Example of method for determining the equivalent conicity by integration of the nonlinear differential equation.22 B.1 Principle.22 B.2 Steps of the procedure.25 B.3 Special cases.26 Annex C (informative)
Example of method for determining the equivalent conicity by linear regression of the ∆∆∆∆r function.28 C.1 Principles.28 C.2 Steps of the procedure.28 C.3 Particularities.28 Annex D (normative)
Reference profiles.29 D.1 Wheel A.29 D.1.1 Drawing.29 D.1.2 Analytic definition.29 D.1.3 Cartesian coordinates.30 D.2 Wheel B.31 D.2.1 Drawing.31 D.2.2 Analytic definition.31 D.2.3 Cartesian coordinates.32 D.3 Wheel H.33 D.3.1 Drawing.33 D.3.2 Analytic definition.33 D.3.3 Cartesian coordinates.34 D.4 Wheel I.35 D.4.1 Drawing.35 D.4.2 Analytic definition.35



EN 15302:2008 (E) 3 D.4.3 Cartesian coordinates.36 D.5 Rail A.37 D.5.1 Drawing.37 D.5.2 Analytic definition.37 D.5.3 Cartesian coordinates.38 Annex E (normative)
Calculation results with reference profiles.39 E.1 Wheel A / Rail A.40 E.1.1 Diagram of ∆∆∆∆r, tanγγγγa, tanγγγγe functions and representation of contact points.40 E.1.2 Representation of the curves of kinematic rolling movement of the wheelset on track.41 E.1.3 Numerical values for ∆∆∆∆r function.42 E.1.4 Numerical values for tanγγγγe function.43 E.2 Wheel B / Rail A.44 E.2.1 Diagram ∆∆∆∆r, tanγγγγa, tanγγγγe functions and representation of contact points.44 E.2.2 Representation of the curves of kinematic rolling movement of the wheelset on track.45 E.2.3 Numerical values for ∆∆∆∆r function.46 E.2.4 Numerical values for tanγγγγe function.47 E.3 Wheel H / Rail A.48 E.3.1 Diagram of ∆∆∆∆r, tanγγγγa, tanγγγγe functions and representation of contact points.48 E.3.2 Representation of the curves of kinematic rolling movement of the wheelset on track.49 E.3.3 Numerical values for ∆∆∆∆r function.50 E.3.4 Numerical values for tanγγγγe function.51 E.4 Wheel I / Rail A.52 E.4.1 Diagram of ∆∆∆∆r, tanγγγγa, tanγγγγe functions and representation of contact points.52 E.4.2 Representation of the curves of kinematic rolling movement of the wheelset on track.53 E.4.3 Numerical values for ∆∆∆∆r function.54 E.4.4 Numerical values for tanγγγγe function.55 E.5 Modified Wheel A (-2 mm on left wheel diameter) / Rail A.56 E.5.1 Diagram of ∆∆∆∆r, tanγγγγa, tanγγγγe functions and representation of contact points.56 E.5.2 Representation of the curves of kinematic rolling movement of the wheelset on track.57 E.5.3 Numerical values for ∆∆∆∆r function.58 E.5.4 Numerical values for tanγγγγe function.59 E.6 Modified Wheel B (-2 mm on left wheel diameter) / Rail A.60 E.6.1 Diagram of ∆∆∆∆r, tanγγγγa, tanγγγγe functions and representation of contact points.60 E.6.2 Representation of the curves of kinematic rolling movement of the wheelset on track.61 E.6.3 Numerical values for ∆∆∆∆r function.62 E.6.4 Numerical values for tanγγγγe function.63 E.7 Modified Wheel H (-2 mm on left wheel diameter) / Rail A.64 E.7.1 Diagram of ∆∆∆∆r, tanγγγγa, tanγγγγe functions and representation of contact points.64 E.7.2 Representation of the curves of kinematic rolling movement of the wheelset on track.65 E.7.3 Numerical values for ∆∆∆∆r function.66 E.7.4 Numerical values for tanγγγγe function.67 E.8 Modified Wheel I (-2 mm on left wheel diameter) / Rail A.67 E.8.1 Diagram of ∆∆∆∆r, tanγγγγa, tanγγγγe functions and representation of contact points.67 E.8.2 Representation of the curves of kinematic rolling movement of the wheelset on track.69 E.8.3 Numerical values for ∆∆∆∆r function.70 E.8.4 Numerical values for tanγγγγe function.71 E.9 (Right Wheel A – Left Wheel B) / Rail A.72 E.9.1 Diagram of ∆∆∆∆r, tanγγγγa, tanγγγγe functions and representation of contact points.72 E.9.2 Representation of the curves of kinematic rolling movement of the wheelset on track.73 E.9.3 Numerical values for ∆∆∆∆r function.74 E.9.4 Numerical values for tanγγγγe function.75 Annex F (normative)
Tolerances on equivalent conicity.76 F.1 Wheel A / Rail A.77



EN 15302:2008 (E) 4 F.1.1 Diagram.77 F.1.2 Numerical values.78 F.2 Wheel B / Rail A.80 F.2.1 Diagram.80 F.2.2 Numerical values.81 F.3 Wheel H / Rail A.83 F.3.1 Diagram.83 F.3.2 Numerical values.84 F.4 Wheel I / Rail A.86 F.4.1 Diagram.86 F.4.2 Numerical values.87 F.5 Modified Wheel A (-2 mm on left wheel diameter) / Rail A.89 F.5.1 Diagram.89 F.5.2 Numerical values.90 F.6 Modified Wheel B (-2 mm on left wheel diameter) / Rail A.92 F.6.1 Diagram.92 F.6.2 Numerical values.93 F.7 Modified Wheel H (-2 mm on left wheel diameter) / Rail A.95 F.7.1 Diagram.95 F.7.2 Numerical values.96 F.8 Modified Wheel I (-2 mm on left wheel diameter) / Rail A.98 F.8.1 Diagram.98 F.8.2 Numerical values.99 F.9 (Right Wheel A – Left Wheel B) / Rail A.101 F.9.1 Diagram.101 F.9.2 Numerical values.102 Annex G (informative)
Examples of calculation results with introduced errors.104 G.1 Wheel A / Rail A – Random error in mm.104 G.2 Wheel A / Rail A — Random error in mm.105 G.3 Wheel A / Rail A — Random error in mm.106 G.4 Wheel A / Rail A — Grid error in mm.107 G.5 Wheel A / Rail A — Grid error in mm.108 G.6 Wheel A / Rail A — Grid error in mm.109 G.7 Wheel H / Rail A — Random error in mm.110 Annex H (informative)
Guideline for application of errors.111 H.1 Grid error.111 H.2 Random error.113 Annex I (informative)
Guidelines for application.115 Annex ZA (informative)
Relationship between this European Standard and the Essential Requirements of EU Directive Council Directive 96/48/EC as amended by 2004/50/EC.117 Bibliography.119
Figures Figure 1 — Benchmark process, Step 1.11 Figure 2 — Benchmark process, Step 2.11 Figure 3 — Benchmark process, Step 3.12 Figure 4 — Dimensions on the wheelset.15 Figure 5 — y = f(x) function.16 Figure A.1 — ∆∆∆∆r = f(y) function and tanγγγγe = f(y).21 Figure B.1 — Representation of dx, dy.22



EN 15302:2008 (E) 5 Figure B.2 — Representation of ds, dΨΨΨΨ.22 Figure B.3 — Representation of r1, r2, e.23 Figure B.4 — ∆∆∆∆r = f(y) characteristic with negative slope.26 Figure B.5 — Calculation of ∫rdyû integral.26 Figure B.6 — Determination of yem , calculation of ∫∆rdyand determination of yˆ.27 Figure B.7 — Determination of yemin = f(yˆ) and yemax = f(yˆ) functions.27 Figure B.8 — Determination of C constant.27 Figure D.1 — Wheel A.29 Figure D.2 —Wheel B.31 Figure D.3 — Wheel H.33 Figure D.4 — Wheel I.35 Figure D.5 — Rail A.37 Figure E.1a — Diagram of ∆∆∆∆r, tanγγγγa, tanγγγγe functions and representation of contact points —
Wheel A / Rail A.40 Figure E.1b — Representation of the curves of kinematic rolling movement of the wheelset on track — Wheel A / Rail A.41 Figure E.2a — Diagram ∆∆∆∆r, tanγγγγa, tanγγγγe functions and representation of contact points —
Wheel B / Rail A.44 Figure E.2b — Representation of the curves of kinematic rolling movement of the wheelset on track — Wheel B / Rail A.45 Figure E.3a — Diagram of ∆∆∆∆r, tanγγγγa, tanγγγγe functions and representation of contact points —
Wheel H / Rail A.48 Figure E.3b — Representation of the curves of kinematic rolling movement of the wheelset on track — Wheel H / Rail A.49 Figure E.4a — Diagram of ∆∆∆∆r, tanγγγγa, tanγγγγe functions and representation of contact points —
Wheel I / Rail A.52 Figure E.4b — Representation of the curves of kinematic rolling movement of the wheelset on track — Wheel I / Rail A.53 Figure E.5a — Diagram of ∆∆∆∆r, tanγγγγa, tanγγγγe functions and representation of contact points —
Modified Wheel A / Rail A.56 Figure E.5b — Representation of the curves of kinematic rolling movement of the wheelset on track — Modified Wheel A / Rail A.57 Figure E.6a — Diagram of ∆∆∆∆r, tanγγγγa, tanγγγγe functions and representation of contact points —
Modified Wheel B / Rail A.60 Figure E.6b — Representation of the curves of kinematic rolling movement of the wheelset on track — Modified Wheel B / Rail A.61 Figure E.7a — Diagram of ∆∆∆∆r, tanγγγγa, tanγγγγe functions and representation of contact points —
Modified Wheel H / Rail A.64 Figure E.7b — Representation of the curves of kinematic rolling movement of the wheelset on track — Modified Wheel H / Rail A.65



EN 15302:2008 (E) 6 Figure E.8a — Diagram of ∆∆∆∆r, tanγγγγa, tanγγγγe functions and representation of contact points —
Modified Wheel I / Rail A.68 Figure E.8b — Representation of the curves of kinematic rolling movement of the wheelset on track — Modified Wheel I / Rail A.69 Figure E.9a — Diagram of ∆∆∆∆r, tanγγγγa, tanγγγγe functions and representation of contact points —
(Right Wheel A – Left Wheel B) / Rail A.72 Figure E.9b — Representation of the curves of kinematic rolling movement of the wheelset on track — (Right Wheel A – Left Wheel B) / Rail A.73 Figure F.1 — Diagram Wheel A / Rail A.77 Figure F.2 — Diagram Wheel B / Rail A.80 Figure F.3 — Diagram Wheel H / Rail A.83 Figure F.4 — Diagram Wheel I / Rail A.86 Figure F.5 — Diagram modified Wheel A / Rail A.89 Figure F.6 — Diagram modified Wheel B /
...